2. For the vector space P, with the standard basis B= { 1. t,'} a) What is dim P.? Based on this, P, is isomorphic to what common vector space? b) Create coordinate vectors with respect to the standard basis for each of the vectors in the set 5 = (2,1 - 6,t+ ('} c) Are these coordinate vectors linearly independent? Do these coordinate vectors span the coordinate space? Justify your answer d) Based on (c) is S a basis for P.? Why or why not